Below you will find MCQ Questions of Chapter 12 Areas related to Circles Class 10 Maths that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 10 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 10 Maths Chapter 12 Areas related to Circles with answers

1. A pendulum swings through an angle of 300 and describes an arc 8.8cm in length. The length of the pendulum is

(a) 17 cm

(b) 16.8 cm

(c) 8.8 cm

(d) 15.8 cm

► (b) 16.8 cm

2. In the given figure, O is the centre of the circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, the area of shaded portion will be

(a) 770 cm^{2}

(b) 100 cm^{2}

(c) 340 cm^{2}

(d) 220 cm^{2}

► (a) 770 cm^{2}

3. The area of the circle that can be inscribed in a square of side 10cm is

(a) 25 sq.cm

(b) 10π sq.cm

(c) 25π sq.cm

(d) 20π sq.cm

► (c) 25π sq.cm

4. It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be

(a) 10 m

(b) 15 m

(c) 20 m

(d) 24 m

► (a) 10 m

5. The angle of the major sector and the corresponding minor sector of a circle are

(a) Conjugate angles

(b) Supplementary angles

(c) Complementary angles

(d) Reflex angles

► (a) Conjugate angles

6. To warn ships of underwater rocks, a light house spreads a red colored light over a sector of angle 80° to a distance of 16.5 km. The area of the sea over which the ships are warned is

(a) 135.7 km^{2}

(b) 200 km^{2}

(c) 190.14 km^{2}

(d) 180.5 km^{2}

► (c) 190.14 km^{2}

7. The ratio of area of two circles whose ratio of circumference is 3:1 will be

(a) 3 : 1

(b) 1 : 3

(c) 1 : 9

(d) 9 : 1

► (d) 9 : 1

8. The length of a minute hand of a wall clock is 7 cm. What is the area swept by it in 30 minutes

(a) 50 cm^{2}

(b) 35 cm^{2}

(c) 77 cm^{2}

(d) 63 cm^{2}

► (c) 77 cm^{2}

9. The area of a sector of a circle bounded by an arc of length 5π cm is equal to 20π cm2, then its radius is

(a) 12 cm

(b) 16 cm

(c) 8 cm

(d) 10 cm

► (c) 8 cm

10. The diameter of a wheel is 1 m. The number of revolutions it will make to travel a distance of 22 km will be

(a) 2,800

(b) 4,000

(c) 5,500

(d) 7,000

► (d) 7,000

11. A square of side 7cmis inscribed in a circle. The area enclosed between the circle and the square is

(a) 49 sq. cm

(b) 42 sq.cm

(c) 35 sq. cm

(d) 28 sq. cm

► (d) 28 sq. cm

12. The perimeter of a certain sector of a circle of radius 6.5 cm is 31cm. The area of the sector will be

(a) 58.5 cm^{2}

(b) 40 cm^{2}

(c) 49 cm^{2}

(d) 45 cm^{2}

► (a) 58.5 cm^{2}

13. The area of a sector of a circle with radius 21cm and sector angle 120∘ is

(a) 462 sq. cm

(b) 288 sq. cm

(c) 156 sq. cm

(d) 426 sq. cm

► (a) 462 sq. cm

14. The area of the square that can be inscribed in a circle of radius 12 cm is

(a) 288 sq. cm

(b) 576 sq. cm

(c) 144 sq.cm

(d) 500 sq. cm

► (a) 288 sq. cm

15. A light house throws light forming sector of radius 21 m with central angle 120∘. The area covered by it is

(a) 462 sq. cm

(b) 441 sq. cm

(c) 456 sq. cm

(d) 428 sq. cm

► (a) 462 sq. cm

16. A circular disc of radius 6 cm is divided into three sectors with central angles 90°, 120° and 150°. The ratio of the areas of the three sectors is

(a) 4: 5: 6

(b) 2: 3: 4

(c) 3: 4: 5

(d) 1: 5: 6

► (c) 3: 4: 5

17. The minute hand of a clock is 10 cm long. The area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M is

(a) 130.95 cm^{2}

(b) 120 cm^{2}

(c) 125.5 cm^{2}

(d) 100 cm^{2}

► (a) 130.95 cm^{2}

18. The length of the wire is 66m. The number of circles of circumference 13.2cm can be made from the wire is

(a) 50

(b) 5000

(c) 500

(d) 1

► (c) 500

19. If the circumference of a circle and the perimeter of a square are equal, then

(a) area of the circle < area of the square

(b) area of the circle = area of the square

(c) area of the circle > area of the square

(d) none of these

► (c) area of the circle > area of the square

20. If the area of a circle is equal to the area of a square, then the ratio of their perimeters is

(a) π : 2

(b) 1 : 2

(c) 2 : π

(d) √π : 2

► (d) √π : 2

21. A piece of wire 20cm long is bent into the form of an arc of a circle subtending an angle of 60 at its centre. The radius of the circle is

(a) 60/π cm

(b) 20/π cm

(c) 30/π cm

(d) 15/π cm

► (a) 60/π cm

22. The area of the square that can be inscribed in a circle of radius 8 cm is

(a) 256 cm2

(b) 128 cm2

(c) 64√2 cm2

(d) 64 cm2

► (b) 128 cm2

23. If the circumference of a circle and the perimeter of a square are equal, the

(a) Area of the circle = Area of the square

(b) Area of the circle > Area of the square

(c) Area of the circle < Area of the square

(d) Nothing definite can be said about the relation between the areas of the circle and square

► (b) Area of the circle > Area of the square

Hope the given MCQ Questions will help you in cracking exams with good marks. These **Areas Related to Circles MCQ Questions** will help you in practising more and more questions in less time.